2595945456 has 360 divisors, whose sum is σ = 8562599280. Its totient is φ = 752094720.

The previous prime is 2595945437. The next prime is 2595945467. The reversal of 2595945456 is 6545495952.

2595945456 is a `hidden beast` number, since 2 + 5 + 9 + 5 + 94 + 545 + 6 = 666.

It is a super-3 number, since 3×2595945456³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 70160670 + ... + 70160706.

It is an arithmetic number, because the mean of its divisors is an integer number (23784998).

Almost surely, 2^2595945456 is an apocalyptic number.

2595945456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2595945456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281299640).

2595945456 is an abundant number, since it is smaller than the sum of its proper divisors (5966653824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2595945456 is a wasteful number, since it uses less digits than its factorization.

2595945456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 86 counting only the distinct ones).

The product of its digits is 9720000, while the sum is 54.

The square root of 2595945456 is about 50950.4215487958. The cubic root of 2595945456 is about 1374.3537160688.

The spelling of 2595945456 in words is "two billion, five hundred ninety-five million, nine hundred forty-five thousand, four hundred fifty-six".